Answer:
∠1 = 66°
∠2 = 24°
∠3 = 24°
∠4 = 90°
Step-by-step explanation:
∠1 = 90 - 24 = 66°
∠2 = 24°
∠3 = 24° because segment DB bisects ∠ABC
∠4 = 90° because it is a right angle
Answer:
f(x) and its inverse are the same
Step-by-step explanation:
<u>The inverse function
</u>
If y=f(x), the inverse function 
is defined such as
To find the inverse function, there is a practical method:
a) Change letters x for y and vice-versa
b) Isolate y in terms of x only
c) 
In our case, 
a) Interchanging letters
b) Isolate 
c) 
As we can easily see, f and its inverse are exactly the same
Answer:
<h2><u><em>
no solution, the equation is false</em></u></h2>
Step-by-step explanation:
what is the solution for the following equation 3(2x+3)=2(3x+4)?
3 * (2x + 3) = 2 * (3x + 4)
6x + 9 = 6x + 8
6x - 6x = -9 + 8
0 = ±1
the equation is false
Answer:
Aditya evaluates the numerator of the expression when x = –1. He finds the remainder of the division to be –1
Step-by-step explanation:
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1
To obtain the answer to question, let us apply the remainder theorem. This is illustrated below:
Assume:
x + 1 = 0
Subtract 1 from both side
x + 1 – 1 = 0 – 1
x = – 1
Next, we shall substitute the value of x into – 12x¹⁷+ 3x⁵ – 9x² – 1. This is illustrated below:
– 12x¹⁷+ 3x⁵ – 9x² – 1
x = – 1
– 12(–1)¹⁷+ 3(–1)⁵ – 9(–1)² – 1
– 12(–1) + 3(–1) – 9(1) – 1
12 – 3 – 9 – 1
= –1
Thus, using the remainder theorem,
– 12x¹⁷+ 3x⁵ – 9x² – 1 / x + 1 will result to –1
Answer: the answer is 36
Step-by-step explanation:
we can solve this using an algebra equation
so first from the world problem, we can tell that mother and daughter's ages added together is 45 we can represent this by saying x (mother's age), plus y (daughter's age) is 45.
(x+y)=45
Then we from the problem we know that 5 years ago the product of their ages is four times the mother's age at that time. From this, we can write
(x-5)*(y-5)=4*(x-5)
Then we just subtract the common denominators which is (x-5) so then the equation becomes
(y-5)=4
add 5 to both sides
y=9
Then all we do is plug the answer for y into the very first equation
x+9=45
Subtract both sides by 9
x=36
To double-check let's put the answers in the second equation
(36-5)*(9-5)=4*(x-5)
we get
(31)*(4)=4*(31)
so it's right I think
